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Article: Tame and wild coordinates of ℤ[x,y]

TitleTame and wild coordinates of ℤ[x,y]
Authors
Lam, CMYu, JT
KeywordsAutomorphisms Of Polynomial Algebras
Coordinates
Tame Automorphisms
Tame Coordinates
Wild Automorphisms
Wild Coordinates
Issue Date2004
PublisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jalgebra
Citation
Journal Of Algebra, 2004, v. 279 n. 2, p. 425-436 How to Cite?
DOI: http://dx.doi.org/10.1016/j.jalgebra.2003.08.022
AbstractAlgorithms to decide whether a polynomial is a coordinates (tame coordinate, respectively) of ℤ[x,y] are given. Moreover, if a polynomial p∈Z[x,y] is a coordinate (tame coordinate, respectively), the algorithms effectively construct a concrete automorphism of ℤ[x,y] that sends x to p. The algorithm to determine tame coordinate is applicable to R[x,y] where R is an Euclidean domain; while the algorithm to determine coordinate is applicable to D[x.y] where D is a unique factorization domain. © 2004 Published by Elsevier Inc.
Persistent Identifierhttp://hdl.handle.net/10722/156206
ISSN
0021-8693
2023 Impact Factor: 0.8
2023 SCImago Journal Rankings: 1.023
ISI Accession Number ID
WOS:000223280600001
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorLam, CMen_US
dc.contributor.authorYu, JTen_US
dc.date.accessioned2012-08-08T08:40:50Z-
dc.date.available2012-08-08T08:40:50Z-
dc.date.issued2004en_US
dc.identifier.citationJournal Of Algebra, 2004, v. 279 n. 2, p. 425-436en_US
dc.identifier.issn0021-8693en_US
dc.identifier.urihttp://hdl.handle.net/10722/156206-
dc.description.abstractAlgorithms to decide whether a polynomial is a coordinates (tame coordinate, respectively) of ℤ[x,y] are given. Moreover, if a polynomial p∈Z[x,y] is a coordinate (tame coordinate, respectively), the algorithms effectively construct a concrete automorphism of ℤ[x,y] that sends x to p. The algorithm to determine tame coordinate is applicable to R[x,y] where R is an Euclidean domain; while the algorithm to determine coordinate is applicable to D[x.y] where D is a unique factorization domain. © 2004 Published by Elsevier Inc.en_US
dc.languageengen_US
dc.publisherAcademic Press. The Journal's web site is located at http://www.elsevier.com/locate/jalgebraen_US
dc.relation.ispartofJournal of Algebraen_US
dc.subjectAutomorphisms Of Polynomial Algebrasen_US
dc.subjectCoordinatesen_US
dc.subjectTame Automorphismsen_US
dc.subjectTame Coordinatesen_US
dc.subjectWild Automorphismsen_US
dc.subjectWild Coordinatesen_US
dc.titleTame and wild coordinates of ℤ[x,y]en_US
dc.typeArticleen_US
dc.identifier.emailYu, JT:yujt@hku.hken_US
dc.identifier.authorityYu, JT=rp00834en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1016/j.jalgebra.2003.08.022en_US
dc.identifier.scopuseid_2-s2.0-4043146549en_US
dc.identifier.hkuros97913-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-4043146549&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume279en_US
dc.identifier.issue2en_US
dc.identifier.spage425en_US
dc.identifier.epage436en_US
dc.identifier.isiWOS:000223280600001-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridLam, CM=7402989820en_US
dc.identifier.scopusauthoridYu, JT=7405530208en_US
dc.identifier.issnl0021-8693-

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